101333311202112 has 224 divisors, whose sum is σ = 295769295427968. Its totient is φ = 30363033600000.

The previous prime is 101333311202087. The next prime is 101333311202117. The reversal of 101333311202112 is 211202113333101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101333311202117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162018312 + ... + 162642552.

Almost surely, 2^{101333311202112} is an apocalyptic number.

101333311202112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101333311202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147884647713984).

101333311202112 is an abundant number, since it is smaller than the sum of its proper divisors (194435984225856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101333311202112 is a wasteful number, since it uses less digits than its factorization.

101333311202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625129 (or 625119 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 101333311202112 its reverse (211202113333101), we get a palindrome (312535424535213).

The spelling of 101333311202112 in words is "one hundred one trillion, three hundred thirty-three billion, three hundred eleven million, two hundred two thousand, one hundred twelve".